Orthonormal Sets in P2 In Exercises 5762, let p(x) = a0 +

Chapter 5, Problem 5.3.60

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Orthonormal Sets in P2 In Exercises 5762, let p(x) = a0 + a1x + a2x2 and q(x) = b0 + b1x + b2x2 be vectors in P2 with p, q = a0b0 + a1b1 + a2b2. Determine whether the polynomials form an orthonormal set, and if not, apply the Gram-Schmidt orthonormalization process to form an orthonormal set.{5x + 12x213 ,12x 5x213 , 1}

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